NYNEX Must Schedule Round-The-Clock Coverage for Its Telephone Operators Formulate This Scheduling Decision as a Linear Programming Problem,defining Fully

question 45

Essay

NYNEX must schedule round-the-clock coverage for its telephone operators.To keep the number of different shifts down to a manageable level,it has only four different shifts.Operators work eight-hour shifts and can begin work at either midnight,8 a.m.,noon,or 4 p.m.Operators are needed according to the following demand pattern,given in four-hour time blocks.
$$\begin{array} { | l | c | } \hline \text { Time Period } & \text { Operators Needed } \\\hline \text { midnight to } 4 \text { a.m. } & 4 \\\text { 4 a.m. to } 8 \text { a.m. } & 6 \\8 \text { a.m. to noon } & 90 \\\text { Noon to } 4 \text { p.m. } & 85 \\\text { 4 p.m. to } 8 \text { p.m. } & 55 \\\text { 8 p.m. to midnight } & 29 \\\hline\end{array}$$
Formulate this scheduling decision as a linear programming problem,defining fully your decision variables and then giving the objective function and constraints.

Recognize the self-corrective nature of social science and the importance of independent replication and evaluation.

Understand the role of empirical reasoning in social science inquiry.

Comprehend the characteristics of sound arguments and conclusions in social science analysis.

Understand the fundamental differences between different types of calipers and their specific uses.

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Definitions:

Impromptu

Something done without being planned, prepared, or rehearsed, often referring to speeches or performances.

Manuscript

A document that contains the original text of an author's work, prepared for publication or presentation.

Topical Pattern

An organizational pattern in speeches or writing that arranges information according to different types or categories.

Spatial

Refers to anything related to, occupying, or having the character of space.