Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Expert Solution & Answer
Chapter 3.1, Problem 5P
Explanation of Solution
Reason for an LP not to have < or >constraints:
The reason for not allowing the LP to have < or > constraint is that there will no optimal solutions.
According to the theorem, the optimal solution of any LP exists at any of the extreme points of the feasible region...
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
QUESTION 3
The domain for the relation R is the set of all integers. For any two integers, x and y, xRy if x evenly divides y. An integer x evenly divides y if there is another integer n such that y = xn. (Note that the
domain is the set of all integers, not just positive integers.)
Anti-symmetric
Reflexive
Symmetric
Transitive
1. A known relationship mode of R (U, F), U= (A, B, C, E, F, G, H, I, J, G); F={AB->E,ABE->FG, B->FI, C->J, CJ->I, G->H}; find the minimum cover of F, then use theNormal Form decomposition algorithm to decompose this mode to 3NF, and check if thedecomposition has the nonadditive join property.
Give three practical examples (physical
or engineering) of a target function
with a constraint
e 4:04 /
Chapter 3 Solutions
Operations Research : Applications and Algorithms
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 5P
Ch. 3.2 - Prob. 6PCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Prob. 9PCh. 3.3 - Prob. 10PCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.7 - Prob. 1PCh. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - Prob. 6PCh. 3.8 - Prob. 7PCh. 3.8 - Prob. 8PCh. 3.8 - Prob. 9PCh. 3.8 - Prob. 10PCh. 3.8 - Prob. 11PCh. 3.8 - Prob. 12PCh. 3.8 - Prob. 13PCh. 3.8 - Prob. 14PCh. 3.9 - Prob. 1PCh. 3.9 - Prob. 2PCh. 3.9 - Prob. 3PCh. 3.9 - Prob. 4PCh. 3.9 - Prob. 5PCh. 3.9 - Prob. 6PCh. 3.9 - Prob. 7PCh. 3.9 - Prob. 8PCh. 3.9 - Prob. 9PCh. 3.9 - Prob. 10PCh. 3.9 - Prob. 11PCh. 3.9 - Prob. 12PCh. 3.9 - Prob. 13PCh. 3.9 - Prob. 14PCh. 3.10 - Prob. 1PCh. 3.10 - Prob. 2PCh. 3.10 - Prob. 3PCh. 3.10 - Prob. 4PCh. 3.10 - Prob. 5PCh. 3.10 - Prob. 6PCh. 3.10 - Prob. 7PCh. 3.10 - Prob. 8PCh. 3.10 - Prob. 9PCh. 3.11 - Prob. 1PCh. 3.11 - Show that Finco’s objective function may also be...Ch. 3.11 - Prob. 3PCh. 3.11 - Prob. 4PCh. 3.11 - Prob. 7PCh. 3.11 - Prob. 8PCh. 3.11 - Prob. 9PCh. 3.12 - Prob. 2PCh. 3.12 - Prob. 3PCh. 3.12 - Prob. 4PCh. 3 - Prob. 1RPCh. 3 - Prob. 2RPCh. 3 - Prob. 3RPCh. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Prob. 8RPCh. 3 - Prob. 9RPCh. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Prob. 13RPCh. 3 - Prob. 14RPCh. 3 - Prob. 15RPCh. 3 - Prob. 16RPCh. 3 - Prob. 17RPCh. 3 - Prob. 18RPCh. 3 - Prob. 19RPCh. 3 - Prob. 20RPCh. 3 - Prob. 21RPCh. 3 - Prob. 22RPCh. 3 - Prob. 23RPCh. 3 - Prob. 24RPCh. 3 - Prob. 25RPCh. 3 - Prob. 26RPCh. 3 - Prob. 27RPCh. 3 - Prob. 28RPCh. 3 - Prob. 29RPCh. 3 - Prob. 30RPCh. 3 - Graphically find all solutions to the following...Ch. 3 - Prob. 32RPCh. 3 - Prob. 33RPCh. 3 - Prob. 34RPCh. 3 - Prob. 35RPCh. 3 - Prob. 36RPCh. 3 - Prob. 37RPCh. 3 - Prob. 38RPCh. 3 - Prob. 39RPCh. 3 - Prob. 40RPCh. 3 - Prob. 41RPCh. 3 - Prob. 42RPCh. 3 - Prob. 43RPCh. 3 - Prob. 44RPCh. 3 - Prob. 45RPCh. 3 - Prob. 46RPCh. 3 - Prob. 47RPCh. 3 - Prob. 48RPCh. 3 - Prob. 49RPCh. 3 - Prob. 50RPCh. 3 - Prob. 51RPCh. 3 - Prob. 52RPCh. 3 - Prob. 53RPCh. 3 - Prob. 54RPCh. 3 - Prob. 56RPCh. 3 - Prob. 57RPCh. 3 - Prob. 58RPCh. 3 - Prob. 59RPCh. 3 - Prob. 60RPCh. 3 - Prob. 61RPCh. 3 - Prob. 62RPCh. 3 - Prob. 63RP
Knowledge Booster
Similar questions
- Suppose the university has decided to announce bonus 1 PMS point to employees those have PMS points more than 7. The appraisal will be based on PMS points. We have an array of employees with UID andPMS point . Display the list of employees those would be benefitedwith bonus. The bonus should be added to the employees who haveUID and PMS through the concept of list comprehension.arrow_forwardWrite short note on Connectivity Constraintsarrow_forwardi want 4 SEQUENCES DIAGRAM from this use case:- 옷 Student incorrect extend 옷 admin add course «include include login employees evalution includes reservation time include «include>> extend extend extende extende extend y extend lack of money follow up financial situation make payment include member complete training course include online «include> basic course view employee info remove empolyee promotion employee extende view std info cash not qualified include print card has no money extend extends pass the interview includes «extend- extend choose level course exten write report apply to work receive salary modify 064 employee WRON WHEN OPMarrow_forward
- . An employee joined a company in 2009 with a starting salary of $50,000. Every year this employee receives a raise of $1000 plus 5% of the salary of the previous year. a) Set up a recurrence relation for the salary of this em- ployee n years after 2009. b) What will the salary of this employee be in 2017? c) Find an explicit formula for the salary of this em- ployee n years after 2009.arrow_forwardwhen marler's theorem $ ke appled? melion the Jovmula fov care 2 and solue th followng relation ueig marters herem TM) = ST Cn/2)t n?logenarrow_forwardArc consistency in constrained satisfaction problems Suppose that we have three variables X1, X2 and X3, which are defined on the same domain of {1, 2, 3}. Two binary constraints for these three variables are defined according to the following: 1. Is X1 arc-consistent with respect to X2? And is X1 arc-consistent with respect to X3? and why? In addition, is X3 arc-consistent with respect X1 if the constraints between R1 and R3 are undirected (i.e., R31 is defined as {(X3, X1), [(2, 1),(1, 2),(1, 3),(3, 3)]} that switches the element order of every two-tuple of R13)? and why? 2. Suppose that, after some inference, the domain of X1 is reduced as {2, 3} and the constrains in R12 and R13 for X1 = 1 are removed accordingly. To be more specific, (1, 2) is removed from R13 due to reducing the domain of X1. Now is X1 still arc-consistent with respect to X2? And is X1 arc-consistent with respect to X3? and why? In addition, is X3 still arc-consistent with respect X1 if the constraints between…arrow_forward
- Show how a single ternary constraint such as “A + B = C” can be turned into three binaryconstraints by using an auxiliary variable. You may assume finite domains. (Hint: Consider a newvariable that takes on values that are pairs of other values, and consider constraints such as “X is thefirst element of the pair Y .”) Next, show how constraints with more than three variables can betreated similarly. Finally, show how unary constraints can be eliminated by altering the domains ofvariables. This completes the demonstration that any CSP can be transformed into a CSP with onlybinary constraints.arrow_forward3. Given a relation R( A, B, C, D) where FDs ans CKs are such : FDs CKs AB -> C, BC -> D, CD -> A АB and BC А -> ВCD, C ->A A,C А->вс, С->BD, В->А No Clue Check the Highest Normal Form.arrow_forwardAssuming B, and C are all nullable, which of the following set constraints can be deduced from the following production? A → BC Check all that apply. Exactly five of them are correct. First(A) C First(B) First(A) C First(C) First(B) C First(A) O First(B) C First(C) O First(C) C First(A) First(C) C First(B) Follow(A) C Follow(B) Follow(A) C Follow(C) Follow(B) C Follow(A) O Follow(B) C Follow(C) Follow(C) Follow(A) Follow(C) C Follow(B) First(B) C Follow(C) First(C) C Follow(B) Follow(B) C First(C) O Follow(C) C First(B)arrow_forward
- 12.) Solve the recurrence relation an = 2an-1-an-2. (a) What is the solution if the initial terms are ao = 1 and a₁ = 2? (b) What do the initial terms need to be in order for ag = 30? (c) For which x are there initial terms which make ag = x? (13. Consider the recurrence relation an = 4an-1-4an-2. (a) Find the general solution to the recurrence relation (beware the repeated root). (b) Find the solution when ao = 1 and a₁ = 2. (c) Find the solution when ao = 1 and a₁ = 8.arrow_forwardwhay decision can be achieved by a fuzzy relation?arrow_forwardSet of FDs:F = {A → B€, CD → E,B → D, E → A} Question: Is R in BCNF?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole