{"title":"Online Decision-Making with High-Dimensional Covariates","authors":"Hamsa Bastani, M. Bayati","doi":"10.2139/ssrn.2661896","DOIUrl":"https://doi.org/10.2139/ssrn.2661896","url":null,"abstract":"Big data has enabled decision-makers to tailor decisions at the individual-level in a variety of domains such as personalized medicine and online advertising. This involves learning a model of decision rewards conditional on individual-specific covariates. In many practical settings, these covariates are high-dimensional; however, typically only a small subset of the observed features are predictive of a decision's success. We formulate this problem as a multi-armed bandit with high-dimensional covariates, and present a new efficient bandit algorithm based on the LASSO estimator. Our regret analysis establishes that our algorithm achieves near-optimal performance in comparison to an oracle that knows all the problem parameters. The key step in our analysis is proving a new oracle inequality that guarantees the convergence of the LASSO estimator despite the non-i.i.d. data induced by the bandit policy. Furthermore, we illustrate the practical relevance of our algorithm by evaluating it on a real-world clinical problem of warfarin dosing. A patient's optimal warfarin dosage depends on the patient's genetic profile and medical records; incorrect initial dosage may result in adverse consequences such as stroke or bleeding. We show that our algorithm outperforms existing bandit methods as well as physicians to correctly dose a majority of patients.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123571115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Solving a Real-Life VRP with Inter-Route and Intra-Route Challenges","authors":"J. Gromicho, S. Haneyah, L. Kok","doi":"10.2139/ssrn.2610549","DOIUrl":"https://doi.org/10.2139/ssrn.2610549","url":null,"abstract":"We address a rich vehicle routing problem (VRP) motivated by practice. The problem includes three challenges that have received at most little attention in literature: inter-route restrictions, unmatched pickups and deliveries, and priority orders. These characteristics arise in a VRP application where a large international herd improvement company needs to plan milk sampling and measuring tools distribution activities. The latter require expensive equipment that is of limited availability, resulting in inter-route restrictions due to the use of a central inventory. The equipment can also be moved directly from one farm to another, and thus can be modeled as unmatched pickup and deliveries. We solve the problem using a large neighborhood search heuristic, where we also employ local search procedures to intensify the search on promising solutions. We show that we are able to generate plans with more tasks planned and at the same time with 5% less distance traveled as compared to current practice.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"123 27","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120819064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diffusion Limit of Fair Resource Control -- Stationarity and Interchange of Limits","authors":"H. Ye, D. Yao","doi":"10.2139/ssrn.2579541","DOIUrl":"https://doi.org/10.2139/ssrn.2579541","url":null,"abstract":"We study a resource-sharing network where each job requires the concurrent occupancy of a subset of links (servers/resources), and each link’s capacity is shared among job classes that require its service. The real-time allocation of the service capacity among job classes is determined by the so-called “proportional fair” scheme, which allocates the capacity among job classes taking into account the queue lengths and the shadow prices of link capacity. We show that the usual traffic condition is necessary and sufficient for the diffusion limit to have a stationary distribution. We also establish the uniform stability of the prelimit networks, and hence the existence of their stationary distributions. To justify the interchange of two limits, the limit in time and limit in diffusion scaling, we identify a bounded workload condition, and show it is a sufficient condition to justify the interchange for the stationary distributions and their moments. This last result is essential for the validity of the diffusion limit as an approximation to the stationary performance of the original network. We present a set of examples to illustrate justifying the validity of diffusion approximation in resource-sharing networks, and also discuss extensions to other multiclass networks via the well-known Kumar-Seidman/Rybko-Stolyar model.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130584102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Empirical Study of the Effect of the Internet on Fares in the U.S. Airline Industry.","authors":"Hwaryung Lee","doi":"10.23895/KDIJEP.2015.37.1.1","DOIUrl":"https://doi.org/10.23895/KDIJEP.2015.37.1.1","url":null,"abstract":"A reduction in search costs is generally believed to make markets more competitive. However, the effect may be mitigated or amplified if consumers must pay costs for switching products. This paper investigates how search costs affect prices in the presence of switching costs using U.S. domestic airfare data for 2000?2010. The airline industry experienced a dramatic decrease in search costs with increasing Internet use in the 2000s. At the same time, the industry is known for its frequent flyer programs (FFPs), which increase switching costs for consumers. We use the average network size of airlines in a market as a proxy for switching costs related to FFPs and Internet usage as a proxy for (the inverse of) search costs. The results show that increasing Internet usage lowers airfares but that the effect is smaller for markets with a larger average network size.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114993241","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"From Group Data to Useful Probabilities: The Relevance of Actuarial Risk Assessment in Individual Instances","authors":"D. Mossman","doi":"10.2139/ssrn.2372101","DOIUrl":"https://doi.org/10.2139/ssrn.2372101","url":null,"abstract":"Probability plays a ubiquitous role in decision-making through a process in which we use data from groups of past outcomes to make inferences about new situations. Yet in recent years, many forensic mental health professionals have become persuaded that overly wide confidence intervals render actuarial risk assessment instruments virtually useless in individual assessments. If this were true, the mathematical properties of probabilistic judgments would preclude forensic clinicians from applying group-based findings about risk to individuals. As a consequence, actuarially based risk estimates might be barred from use in legal proceedings. Using a fictional scenario, I seek to show how group data have an obvious application to individual decisions. I also explain how misunderstanding the aims of risk assessment has led to mistakes about how, when, and why group data apply to individual instances. Although actuarially based statements about individuals' risk have many pitfalls, confidence intervals pose no barrier to using actuarial tools derived from group data to improve decision-making about individual instances.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130331149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pooya Molavi, Ceyhun Eksin, Alejandro Ribeiro, A. Jadbabaie
{"title":"Learning to Coordinate in Social Networks","authors":"Pooya Molavi, Ceyhun Eksin, Alejandro Ribeiro, A. Jadbabaie","doi":"10.2139/ssrn.2292124","DOIUrl":"https://doi.org/10.2139/ssrn.2292124","url":null,"abstract":"We study a dynamic game in which short-run players repeatedly play a symmetric, strictly supermodular game whose payoff depends on a fixed unknown state of nature. Each short-run player inherits the beliefs of his immediate predecessor in addition to observing the actions of the players in his social neighborhood in the previous stage. Due to the strategic complementary between their actions, players have the incentive to coordinate with, and learn from others. We show that in any Markov Perfect Bayesian Equilibrium of the game, players eventually reach consensus in their actions. They also asymptotically receive similar payoffs in spite of initial differences in their access to information. We further show that, if the players' payoffs can be represented by a quadratic function, then the private observations are optimally aggregated in the limit for generic specifications of the game. Therefore, players asymptotically coordinate on choosing the best action given the aggregate information available throughout the network. We provide extensions of our results to the case of changing networks and endogenous private signals.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132332336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Four Border Structures in GCM (Small Addition to the 'Garbage Can Model: Reconstruction and Logical Analysis')","authors":"I. Smarzhevskiy","doi":"10.2139/ssrn.2519433","DOIUrl":"https://doi.org/10.2139/ssrn.2519433","url":null,"abstract":"For efficient operation of the collective decision making system, described by garbage can model (Cohen M., March J., Olsen J., 1972. A Garbage Can Model of Organizational Choice), the structure of the access problems and managers to the choices is crucial. The logic of the system is studied and developed a scheme that allows for arbitrary even N to get the probability distribution of the number of resolved problems and the types of decisions. For the case of arbitrary dimension of decision-making system and the three types of structures: 1) specialized access structure with specialized decision structure 2) unsegmented access structure with specialized decision structure 3) specialized access structure with unsegmented decision structure, in different types of energy load, an analytical solution: set the maximum number of problems that can be solved and obtained the probability distribution of outcomes.A comparison of the effectiveness of the system for four border options for the organizational structure: the one previously studied, and the three discussed in the article. The examples of the probability distribution of outcomes in the system dimension is ten, which is the subject of a number of studies that reconstruct the original model code and verified the results. The correspondence complexity of problems types of organizational structure, in which the decision-making system works most effectively.The work is a continuation of the previously published working paper “Garbage Can Model: Reconstruction and Logical Analysis” (http://ssrn.com/abstract=2490388).","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"2017 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114967728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Robustness of Capacity and Energy-Only Markets - A Stochastic Dynamic Capacity Investment Model","authors":"Daniel Hach, S. Spinler","doi":"10.2139/ssrn.2508696","DOIUrl":"https://doi.org/10.2139/ssrn.2508696","url":null,"abstract":"We present a multi-feature stochastic dynamic capacity investment model that includes realistic investor behavior. The long-term investment model includes features, such as strategic bidding of generators, price elasticity of demand, and ramping constraints. It incorporates an iterative procedure of finding a sensible electricity price forecast closely depicting real-world investor behavior in a single computable model.Using this model, we assess the robustness and the total bill of generation of a capacity market compared to an energy-only market as capacity markets are increasingly considered worldwide due to rising feed-in from renewables. To estimate unplanned unavailabilities, we analyze a novel data set of the European Energy Exchange describing unplanned unavailability incidents. Applying the model to the Great Britain market, we find that capacity markets are more robust to unplanned unavailabilities of conventional generation in terms of the total bill of generation and price volatility. At the same time, capacity markets induce additional costs through capacity payments. Therefore, we jointly analyze the total bill of generation and the robustness with different levels of reserve margins. Our results show that there is a promising area of efficient trade-offs between the two targets affordability and reliability in the range of reserve margins between 0 and 15%.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121764523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Crossing in Soccer has a Strong Negative Impact on Scoring: Evidence from the English Premier League the German Bundesliga and the World Cup 2014","authors":"J. Vecer","doi":"10.2139/ssrn.2225728","DOIUrl":"https://doi.org/10.2139/ssrn.2225728","url":null,"abstract":"We present statistical evidence that games with a smaller number of open crosses tend to lead to more goals. When we estimate the impact of open crossing on scoring of the individual teams using the multilevel Poisson regression model, we conclude that the net effect of crossing is negative for all the teams in all studied competitions. The quality of the attacking team is the major explanatory factor on the number of missed scoring opportunities due to open crossing while the actual conversion of open crosses to goals plays only a minor role.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114940454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Intertemporal Price Discrimination: Structure and Computation of Optimal Policies","authors":"Omar Besbes, I. Lobel","doi":"10.2139/ssrn.2126312","DOIUrl":"https://doi.org/10.2139/ssrn.2126312","url":null,"abstract":"We study a firm's optimal pricing policy under commitment. The firm's objective is to maximize its long-term average revenue given a steady arrival of strategic customers. In particular, customers arrive over time, are strategic in timing their purchases, and are heterogeneous along two dimensions: their valuation for the firm's product and their willingness to wait before purchasing or leaving. The customers' patience and valuation may be correlated in an arbitrary fashion. For this general formulation, we prove that the firm may restrict attention to cyclic pricing policies, which have length, at most, twice the maximum willingness to wait of the customer population. To efficiently compute optimal policies, we develop a dynamic programming approach that uses a novel state space that is general, capable of handling arbitrary problem primitives, and that generalizes to finite horizon problems with nonstationary parameters. We analyze the class of monotone pricing policies and establish their suboptimality in general. Optimal policies are, in a typical scenario, characterized by nested sales, where the firm offers partial discounts throughout each cycle, offers a significant discount halfway through the cycle, and holds its largest discount at the end of the cycle. We further establish a form of equivalence between the problem of pricing for a stream of heterogeneous strategic customers and pricing for a pool of heterogeneous customers who may stockpile units of the product. \u0000 \u0000This paper was accepted by Yossi Aviv, operations management.","PeriodicalId":275253,"journal":{"name":"Operations Research eJournal","volume":"595 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120875953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}