Optimal Inventory Policies when Ordering Prices are Random

We consider a single-item inventory model with deterministic demands. At the beginning of each period, a random ordering price is received according to a known distribution function. A decision must be made as to how much (if any) of the item to order in each period so as to minimize total expected...

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Bibliographische Detailangaben
Veröffentlicht in:Operations Research. - Institute for Operations Research and the Management Sciences, 1956. - 33(1985), 3, Seite 575-588
1. Verfasser: Golabi, Kamal (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1985
Zugriff auf das übergeordnete Werk:Operations Research
Schlagworte:Inventory theory Business Mathematics Behavioral sciences Economics
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084 |a 348 deterministic demands and random ordering price  |2 MSC 
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520 |a We consider a single-item inventory model with deterministic demands. At the beginning of each period, a random ordering price is received according to a known distribution function. A decision must be made as to how much (if any) of the item to order in each period so as to minimize total expected costs while satisfying all demands. We show that, in each period, a sequence of critical price levels determines the optimal ordering strategy, so that it is optimal to satisfy the demands of the next n periods if and only if the random price falls between the nth and the n + 1st levels. We derive recursive expressions that describe the critical price numbers, and demonstrate the relationship of these expressions to minimal expected cost. We study finite horizon as well as infinite horizon models and show that the critical number strategy is also average-cost optimal. 
540 |a Copyright 1985 The Operations Research Society of America 
650 4 |a Inventory theory 
650 4 |a Business  |x Accountancy  |x Financial accounting  |x Assets  |x Current assets  |x Inventories 
650 4 |a Mathematics  |x Pure mathematics  |x Discrete mathematics  |x Number theory  |x Numbers  |x Real numbers  |x Rational numbers  |x Integers 
650 4 |a Mathematics  |x Applied mathematics  |x Game theory  |x Strategic behavior  |x Optimal strategies 
650 4 |a Business  |x Accountancy  |x Financial accounting  |x Business expenses  |x Variable costs  |x Carrying costs 
650 4 |a Business  |x Business administration  |x Corporate governance  |x Corporate policies  |x Cost control  |x Minimization of cost 
650 4 |a Mathematics  |x Mathematical values  |x Critical values  |x Critical numbers 
650 4 |a Behavioral sciences  |x Psychology  |x Cognitive psychology  |x Cognitive processes  |x Decision making  |x Optimal policy 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Statistical distributions  |x Distribution functions 
650 4 |a Economics  |x Microeconomics  |x Economic costs and benefits  |x Economic costs  |x Total costs 
650 4 |a Economics  |x Economic disciplines  |x Applied economics  |x Economic modeling  |x Economic models 
655 4 |a research-article 
773 0 8 |i Enthalten in  |t Operations Research  |d Institute for Operations Research and the Management Sciences, 1956  |g 33(1985), 3, Seite 575-588  |w (DE-627)320595005  |w (DE-600)2019440-7  |x 15265463  |7 nnns 
773 1 8 |g volume:33  |g year:1985  |g number:3  |g pages:575-588 
856 4 0 |u https://www.jstor.org/stable/170559  |3 Volltext 
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952 |d 33  |j 1985  |e 3  |h 575-588