Analysis of (s,S) inventory models:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Math. Centrum
1976
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Mathematical Centre tracts
40 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | I, 149 S. |
| ISBN: | 9061960754 |
Internformat
MARC
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| 245 | 1 | 0 | |a Analysis of (s,S) inventory models |c by H. C. Tijms |
| 250 | |a 2. ed. | ||
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Datensatz im Suchindex
| _version_ | 1804129091231678464 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION i
CHAPTER I SOME RESULTS IN MARKOVIAN DECISION THEORY AND RENEWAL
THEORY 1
1.1. Markovian decision processes 1
1.1.1. Model 1
1.1.2. The discounted cost criterion 3
1.1.3. The average cost criterion 5
1.1.U. Optimality proofs 7
1.2. Renewal theory 11
CHAPTER II VARIOUS QUANTITIES FOR THE DYNAMIC (s,S) INVENTORY MODEL
AND THE OPTIMALITY OF (s,S) POLICIES 19
2.1. Various quantities for the dynamic (s,S) inventory
model 21
2.1.1. Model and preliminaries 21
2.1.2. The transient and the steady state behaviour
of the stock level 26
2.1.3. The total discounted expected cost 32
2.1.!*. The average expected cost and the asymptotic
behaviour of the total expected cost 37
2.2. The existence of optimal (s,S) policies in the in¬
finite period model 44
2.2.1. Model and preliminaries44
2.2.2. The function a (s,S) 50
2.2.3 The optimality of an (s,S) policy 5h
2.2.1*. a uniqueness theorem for the optimal inven¬
tory equation 64
2.3. The dynamic inventory model with demands depending
on the stock level 66
2.3.1. Model and preliminaries 66
2.3.2. Some quantities for the dynamic (s,S) in¬
ventory model 76
2.3.3. The optimality of (s,S) policies in the in¬
finite period model 82
CHAPTER III A PROBABILISTIC ANALYSIS OF AN (s,S) INVENTORY MODEL 90
3.1. Model and preliminaries 90
3.2. The transient and the asymptotic behaviour of the
stock level 98
3.3. The number of outstanding orders and related 102
random variables
3.1*. Certain long run averages for the (s,S) policy 113
CHAPTER IV A FORMULA FOR THE LONG RUN AVERAGE COST APPLIED TO AN
(s,S) INVENTORY MODEL 118
lt.1. The average cost per unit time for a semi Markovian
decision process 118
h.2. The long run average cost for an (s,S) inventory
model 133
lt.2.1. Model and preliminaries 133
1+.2.2. The long run average cost for the (s,S)
model 137
REFERENCES 145
|
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| author | Tijms, H. C. |
| author_facet | Tijms, H. C. |
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| callnumber-subject | TS - Manufactures |
| classification_rvk | QH 441 |
| ctrlnum | (OCoLC)9998692 (DE-599)BVBBV014208523 |
| discipline | Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV014208523 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:59:37Z |
| institution | BVB |
| isbn | 9061960754 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009740904 |
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| physical | I, 149 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Math. Centrum |
| record_format | marc |
| series | Mathematical Centre tracts |
| series2 | Mathematical Centre tracts |
| spelling | Tijms, H. C. Verfasser aut Analysis of (s,S) inventory models by H. C. Tijms 2. ed. Amsterdam Math. Centrum 1976 I, 149 S. txt rdacontent n rdamedia nc rdacarrier Mathematical Centre tracts 40 Mathematisches Modell Inventories Mathematical models 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Mathematical Centre tracts 40 (DE-604)BV000893527 40 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009740904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tijms, H. C. Analysis of (s,S) inventory models Mathematical Centre tracts Mathematisches Modell Inventories Mathematical models |
| subject_GND | (DE-588)4113937-9 |
| title | Analysis of (s,S) inventory models |
| title_auth | Analysis of (s,S) inventory models |
| title_exact_search | Analysis of (s,S) inventory models |
| title_full | Analysis of (s,S) inventory models by H. C. Tijms |
| title_fullStr | Analysis of (s,S) inventory models by H. C. Tijms |
| title_full_unstemmed | Analysis of (s,S) inventory models by H. C. Tijms |
| title_short | Analysis of (s,S) inventory models |
| title_sort | analysis of s s inventory models |
| topic | Mathematisches Modell Inventories Mathematical models |
| topic_facet | Mathematisches Modell Inventories Mathematical models Hochschulschrift |
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