Operations Research: Applications and Algorithms
4th Edition
ISBN: 9780357907818
Author: WINSTON
Publisher: Cengage Learning US
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Chapter 6.3, Problem 9P
Explanation of Solution
Changing the right hand side of the constraint
- Let
- Let
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1. Create a Person.java file. Implement the public Person and Student classes in Person.java, including all the variables and methods in
the UMLS.
Person
-name: String
-street: String
-city: String
+Person(String name, String, street, String, city)
+getName(): String
+setName(String name): void
+getStreet(): String
+setStreet(String street): void
+getCity(): String
+setCity(String City): void
+toString(): String
Student
-Id: int
+Person(String name, String, street, String, city, int Id)
+getId(): int
+setId(int Id): void
+toString(): String
2. Create a StudentTest.java file. Implement a public StudentTest class with a main method. In the main method, create one student
object and print the object using System.out.println().
Your printing result must follow the example output:
name: Mike, street: Morris Ave, city: Union, Id: 1000
Hint: You need to modify the toString methods in the Student class and Person class!
1) Apply the Paint Blue algorithm discussed in class to the following Finite Automata.
a
a
a
b
b
a
COIS-3050H-R-W01-2025WI-COMB Formal
Languages & Automata
a
b
Show the status of the Finite Automata at the conclusion of the Paint Blue Algorithm (mark the
visited states with an X and only include edges that have not been followed).
2) Use the pumping lemma to prove the following language is nonregular:
L= {ab} = {abbb, aabbbbbb, aaabbbbbbbbb, ...}
Chapter 6 Solutions
Operations Research: Applications and Algorithms
Ch. 6.1 - Prob. 1PCh. 6.1 - Prob. 2PCh. 6.1 - Prob. 3PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Prob. 3P
Ch. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.4 - Prob. 10PCh. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.5 - Prob. 1PCh. 6.5 -
Find the duals of the following LPs:
Ch. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Prob. 5PCh. 6.5 - Prob. 6PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.7 - Prob. 1PCh. 6.7 - Prob. 2PCh. 6.7 - Prob. 3PCh. 6.7 - Prob. 4PCh. 6.7 - Prob. 5PCh. 6.7 - Prob. 6PCh. 6.7 - Prob. 7PCh. 6.7 - Prob. 8PCh. 6.7 - Prob. 9PCh. 6.8 - Prob. 1PCh. 6.8 - Prob. 2PCh. 6.8 - Prob. 3PCh. 6.8 - Prob. 4PCh. 6.8 - Prob. 5PCh. 6.8 - Prob. 6PCh. 6.8 - Prob. 8PCh. 6.8 - Prob. 9PCh. 6.8 - Prob. 10PCh. 6.8 - Prob. 11PCh. 6.9 - Prob. 1PCh. 6.9 - Prob. 2PCh. 6.9 - Prob. 3PCh. 6.10 - Prob. 1PCh. 6.10 - Prob. 2PCh. 6.10 - Prob. 3PCh. 6.11 - Prob. 1PCh. 6.11 - Prob. 3PCh. 6.11 - Prob. 4PCh. 6.12 - Prob. 5PCh. 6.12 - Prob. 6PCh. 6.12 - Prob. 7PCh. 6 - Prob. 1RPCh. 6 - Prob. 2RPCh. 6 - Prob. 3RPCh. 6 - Prob. 4RPCh. 6 - Prob. 5RPCh. 6 - Prob. 6RPCh. 6 - Prob. 7RPCh. 6 - Prob. 8RPCh. 6 - Prob. 9RPCh. 6 - Prob. 10RPCh. 6 - Prob. 11RPCh. 6 - Prob. 13RPCh. 6 - Prob. 14RPCh. 6 - Prob. 15RPCh. 6 - Prob. 17RPCh. 6 - Prob. 18RPCh. 6 - Prob. 19RPCh. 6 - Prob. 20RPCh. 6 - Prob. 21RPCh. 6 - Prob. 22RPCh. 6 - Prob. 25RPCh. 6 - Prob. 29RPCh. 6 - Prob. 33RPCh. 6 - Prob. 34RPCh. 6 - Prob. 35RPCh. 6 - Prob. 36RPCh. 6 - Prob. 37RP
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- 3) Find CFGs that for these regular languages over the alphabet Σ= {a, b}. Draw a Finite Automata e CFG. 1 COIS-3050H-R-W01-2025WI-COMB Formal anguages & Automata Is that contain the substring aba. (b) The language of all words that have an odd number letters and contains the string bb. (c) The language of all words that begin with the substring ba and contains an odd number of letters. 4) Convert the following FA into a PDA. a a S± b a a Ν Ꮓarrow_forwardCOIS-3050H-R-W01-2025WI-COMB Formal ministic PDA. Are the following words accepted by this Languages & Automata UI MIUSɩ that aTU I ed, indicate which state the PDA is in when the crash occurs. (a) aabbaa (b) aaabab (c) bababa Start (d) aaaabb A Accept Read₁ Push a (e) aaaaaa a b Read, Popi a a,b A Read₂ Accept A Pop₂arrow_forward5) Eliminate the A-productions from the following CFG: Abc COIS-3050H-R-W01-2025WI-COMB Formal Languages & Automata BAabC C CaA | Bc | A 6) Convert the following CFG into CNF. S→ XYZ XaXbS | a |A YSbS | X | bb Z→ barrow_forward
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