Consider a problem involving providing an answer to any of the following questions:
- How many meals of each type of diet should one take in a month so as to minimise the cost of the meals while meeting the minimum requirements of proteins, carbohydrates and vitamins?
- How many tellers and how fast should they serve customers in a bank so as to keep the queues of customers below a given length within the budget of the operations of the bank?
- A group of HIV-positive friends live in different countries, and their issue at hand is which friend should communicate with which other friend in respect to a certain confidential message on HIV-and-AIDS so as to maximise the number of friends who receive the message within the given time period?
- How much sugar should a family buy and how often so as to meet the demand of sugar in the family at minimum overall costs, given the price-value, the cost of ordering and the cost of storing of the sugar in the family?
The solutions to such problems (referred to as optimisation problems) are profoundly catered for through ORMS techniques. And the books in in this (c) KiUkweli Approach [KiUkA] Books (c) [Operations Research/Management Science] Series, starting with this one, are about these wonderful techniques.
This first of the five substantive books of the series (like the other editions but with improvements) lays the epistemological foundation of ORMS. It introduces the basic concepts and techniques in the major sub-disciplines of the science Linear Optimisation Theory, Inventory Analysis, Queueing Theory and Network Analysis.
The presentation format in the book is optimised for costs minimisation. And the writing style is deliberately chosen to make the book virtually lecture ORMS techniques to the reader, whereby first [in the eBook version] we have the versatile Kindle-Create bookmarks for easy topics/tables/figures reference. Second [for both versions] the paragraphs are numbered and itemised [the lawyers' style] for easy cross reference of concepts throughout the book, thereby eliminating the need for hyperlinks [whose use in this case would not be optimal]. Third the subject matter exposition is in such a way that the reader enjoys the knowledge and its applications without fear of numbers, mathematical formulae and figures; after all ORMS techniques deal with facts and not numbers nor figures!
The main topics covered are as below:
1: FOUNDATION CONCEPTS IN ORMS1.1: GENERAL NATURE OF ORMS
1.2: STAGES IN THE APPLICATION OF ORMS
1.3: MAIN CATEGORIES OF ORMS MODELS
2: LINEAR OPTIMISATION PROBLEMS AND MODELS2.1: STRUCTURE OF LINEAR OPTIMISATION MODELS
2.2: FORMULATION EXAMPLES OF LINEAR OPTIMISATION MODELS
2.3: CANONICAL MODELS
2.4: DUAL MODELS
3: SOLUTIONS OF LINEAR OPTIMISATION MODELS3.1: UNDERPINNING CONCEPTS AND DEFINITIONS
3.2: GRAPHICAL METHOD
3.3: SOLUTIONS OF CANONICAL MODELS
3.4: PRIMAL MODEL AND DUAL MODEL OPTIMAL SOLUTIONS RELATIONSHIP
4: INVENTORY OPTIMISATION PROBLEMS AND MODELS4.1: EPISTEMOLOGICAL DISPOSITION OF INVENTORY OPTIMISATION
4.2: SIMPLE ECONOMIC ORDER QUANTITY (SIMPLE EOQ) MODEL
5: QUEUEING OPTIMISATION PROBLEMS AND MODELS5.1: EPISTEMOLOGICAL FORMATION OF QUEUEING OPTIMISATION
5.2: QUOPAMETS
5.3: QUEUEING SYSTEMS IN QUOPAMETS
5.4: STRUCURE OF QUEUEING OPTIMISATION PROBLEMS
5.5: SP;M[M;1] OPTIMISATION FRAMEWORKS
6: NETWORK OPTIMISATION PROBLEMS AND MODELS6.1: EPISTEMOLOGICAL FORMATION OF NETWORK ANALYSIS
6.2: NETWORKS AND THEIR CHARACTERISTICS
6.3: NEOPAMETS AND NETWORK OPTIMISATION PROBLEMS
6.4: PROJECT-MANAGEMENT OPTIMISATION FRAMEWORKS
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