Optimal Stopping Policy for Multivariate Sequences; a Generalized Best Choice Problem
Publish place: International Journal of Industrial Engineering & Production Research، Vol: 21، Issue: 3
Publish Year: 1389
نوع سند: مقاله ژورنالی
زبان: English
View: 590
This Paper With 9 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJIEPR-21-3_001
تاریخ نمایه سازی: 7 شهریور 1393
Abstract:
In the classical versions of Best Choice Problem , the sequence of offers is a random sample from a single known distribution. We present an extension of this problem in which the sequential offers are random variables but from multiple independent distributions. Each distribution function represents a class of investment or offers. Offers appear without any specified order. The objective is to accept the best offer. After observing each offer, the decision maker has to accept or reject it. The rejected offers cannot be recalled again. In this paper, we consider both cases of known and unknown parameters of the distribution function of the class of next offer. Two optimality criteria are considered, maximizing the expected value of the accepted offer or the probability of obtaining the best offer. We develop stochastic dynamic programming models for several possible problems, depending on the assumptions. A monotone case optimal policy for both criteria is proved. We also show that the optimal policy of a mixed sequence is similar to the one in which offers are from a single density.
Keywords:
Authors
M. Modarres
Professor, Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran
M.J. Samieenia
Graduate Student,, Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran