![operational research exercises operational research exercises](https://img.brainkart.com/imagebk41/Ul63xwE.jpg)
- #OPERATIONAL RESEARCH EXERCISES HOW TO#
- #OPERATIONAL RESEARCH EXERCISES MANUAL#
- #OPERATIONAL RESEARCH EXERCISES FULL#
- #OPERATIONAL RESEARCH EXERCISES SOFTWARE#
- #OPERATIONAL RESEARCH EXERCISES SERIES#
Such that workers previously employed on stage B assembly could spend up It is possible to vary the man-hours spent on assembly at each stage (A, B, C) is 160, 200 and 80 man-hours respectively.
![operational research exercises operational research exercises](https://i1.rgstatic.net/publication/330878663_Scaling_up_isoniazid_preventive_therapy_in_Zimbabwe_has_operational_research_influenced_policy_and_practice/links/5c626519299bf1d14cbf8ad3/largepreview.png)
The nominal time available in the next week for assembly at each stage
#OPERATIONAL RESEARCH EXERCISES MANUAL#
There are three stages (A, B, C) in the manual assembly of each productĪnd the man-hours needed for each stage per unit of product are shown below: The maximum demand in the next weekįor each product (1, 2, 3, 4) is 50, 60, 85 and 70 units respectively.
![operational research exercises operational research exercises](https://i1.rgstatic.net/publication/263326978_A_code_of_best_practice_for_judgement-based_operational_research/links/59f085c0458515bfd07bfb26/largepreview.png)
The profit per unit for each product (1, 2, 3, 4) is £10, £15, The employees to issue the oldest stock first).Ī company assembles four products (1, 2, 3, 4) from delivered components. Objective to age stock unnecessarily and so in minimising costs we willĪutomatically supply (via the d it variables) the oldest stockįirst to satisfy demand (although the managing director needs to tell Solution to our formulation of the problem since (plainly) it worsens the Then we can conclude that this is already assumed in the numerical If we want to ensure that demand is met from the oldest stock first We assume all variables are fractional - in reality they are likely toīe quite large and so this is a reasonable approximation to make (alsoĪ problem occurs with finding integer values which satisfy (for example) Note because we are told to formulate this problem as a linear program However he might be interested in reducing the size of the workforce so Is simply to find a feasible schedule so any objective is possible. It appears from the question that the production manager's objective J and this must be at least the minimum number required (D 3j). These variables is the total number of workers on duty on day 3 in shift N 3j) or on Tuesday (day 2, N 2j) or on Monday (dayġ, N 1j) or on Sunday (day 7, N 7j) - so the sum of The workers working shift j on day 3 either started on Wednesday (day 3, The logic here is straightforward, for example for Wednesday (day 3)
#OPERATIONAL RESEARCH EXERCISES SOFTWARE#
#OPERATIONAL RESEARCH EXERCISES HOW TO#
The objective is toĭetermine how much (if any) of each cargo C1, C2, C3 and C4 shouldīe accepted and how to distribute each among the compartments so The following four cargoes are available for shipment on the next flight: Cargo Weight (tonnes) Volume (cubic metres/tonne) Profit (£/tonne)Īny proportion of these cargoes can be accepted. Must be the same proportion of that compartment's weight capacity to maintain Space: Compartment Weight capacity (tonnes) Space capacity (cubic metres)įurthermore, the weight of the cargo in the respective compartments These compartments have the following limits on both weight and Linear programming formulation examples Linear programming example 1996 MBA examĪ cargo plane has three compartments for storing cargo: front, centreĪnd rear.
#OPERATIONAL RESEARCH EXERCISES FULL#
TheyĪre now available for use by any students and teachers interested in ORĪ full list of the topics available in OR-Notes can be found here. Used by me in an introductory OR course I give at Imperial College. The broad heading of the field of operations research (OR).
#OPERATIONAL RESEARCH EXERCISES SERIES#
OR-Notes are a series of introductory notes on topics that fall under Linear programming formulation examples OR-Notes J E Beasley